Determine and sketch the solution to 2ä(t) + 2x(t) + 32x(t) = 0 x(0) = 1 *(0) = -1. On the same plot, sketch the solution if the coefficient of , 2, is reduced slightly, say to 1.5 and also plot if the same term is increased slightly, say to 2.5. Clearly indicate on your plot what changes in the solution. Do not re-solve the equation.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Determine and sketch the solution to
2ä(t) + 2x(t) + 32x(t) = 0
x (0) = 1
* (0) = -1.
On the same plot, sketch the solution if the coefficient of , 2, is reduced slightly, say
to 1.5 and also plot if the same term is increased slightly, say to 2.5. Clearly indicate
on your plot what changes in the solution. Do not re-solve the equation.
Transcribed Image Text:Determine and sketch the solution to 2ä(t) + 2x(t) + 32x(t) = 0 x (0) = 1 * (0) = -1. On the same plot, sketch the solution if the coefficient of , 2, is reduced slightly, say to 1.5 and also plot if the same term is increased slightly, say to 2.5. Clearly indicate on your plot what changes in the solution. Do not re-solve the equation.
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